Results 11 to 20 of about 478 (139)

Approximation by One and Two Variables of the Bernstein-Schurer-Type Operators and Associated GBS Operators on Symmetrical Mobile Interval

Journal of Function Spaces, 2021
In this article, we purpose to study some approximation properties of the one and two variables of the Bernstein-Schurer-type operators and associated GBS (Generalized Boolean Sum) operators on a symmetrical mobile interval.
Reşat Aslan, Aydın İzgi
doaj   +2 more sources

Some Properties of Kantorovich-Stancu-Type Generalization of Szász Operators including Brenke-Type Polynomials via Power Series Summability Method

Journal of Function Spaces, 2020
In this paper, we study the Kantorovich-Stancu-type generalization of Szász-Mirakyan operators including Brenke-type polynomials and prove a Korovkin-type theorem via the T-statistical convergence and power series summability method.
Naim Latif Braha, Toufik Mansour, Mohammad Mursaleen   +2 more
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Approximation Properties of a New Type of Gamma Operator Defined with the Help of k-Gamma Function

Journal of Function Spaces, 2022
With the help of the k-Gamma function, a new form of Gamma operator is given in this article. Voronovskaya type theorem, weighted approximation, rates of convergence, and pointwise estimates have been found for approximation features of the newly ...
Gurhan Icoz, Seda Demir
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Approximation by Genuine $q$-Bernstein-Durrmeyer Polynomials in Compact Disks in the case $q > 1$ [PDF]

Abstract and Applied Analysis, Volume 2014, Issue 1, 2014., 2014
This paper deals with approximating properties of the newly defined $q$-generalization of the genuine Bernstein-Durrmeyer polynomials in the case $q>1$, whcih are no longer positive linear operators on $C[0,1]$. Quantitative estimates of the convergence,
Mahmudov, Nazim I.
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A Voronovskaya type theorem for q-Szász-Mirakyan-Kantorovich operators

Journal of Numerical Analysis and Approximation Theory, 2011
In this work, we consider a Kantorovich type generalization of \(q\)-Szász-Mirakyan operators via Riemann type \(q\)-integral and prove a Voronovskaya type theorem by using suitable machinery of \(q\)-calculus.
Gülen Başcanbaz-Tunca, Ayçegül Erençin   +1 more
doaj   +4 more sources

Rate of Approximation for Modified Lupaş-Jain-Beta Operators

Journal of Function Spaces, 2020
The main intent of this paper is to innovate a new construction of modified Lupaş-Jain operators with weights of some Beta basis functions whose construction depends on σ such that σ0=0 and infx∈0,∞σ′x≥1.
M. Qasim, Asif Khan, Zaheer Abbas, Princess Raina, Qing-Bo Cai   +4 more
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Approximation Properties of a New Class of Beta-Type Szász–Mirakjan Operators

Journal of Mathematics
We use the new variant of Szász–Mirakjan operators to construct a generalized version of Szász-beta type operators and obtain auxiliary lemmas. We present the weighted approximation theorems and, by using Peetre’s K-function, the local approximation ...
Md. Nasiruzzaman, Rubayyi T. Alqahtani, S. A. Mohiuddine   +2 more
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On Some Extensions of Szasz Operators Including Boas-Buck-Type Polynomials

Abstract and Applied Analysis, 2012
This paper is concerned with a new sequence of linear positive operators which generalize Szasz operators including Boas-Buck-type polynomials.
Sezgin Sucu, Gürhan İçöz, Serhan Varma   +2 more
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A Kantorovich Type of Szasz Operators Including Brenke-Type Polynomials

Abstract and Applied Analysis, 2012
We give a Kantorovich variant of a generalization of Szasz operators defined by means of the Brenke-type polynomials and obtain convergence properties of these operators by using Korovkin's theorem.
Fatma Taşdelen, Rabia Aktaş, Abdullah Altın   +2 more
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A Voronovskaya-type theorem for a certain nonlinear Bernstein operators [PDF]

, 2015
The present paper concerns with the nonlinear Bernstein operators NBnf of the form ... acting on bounded functions on an interval [0; 1]; where Pn;k satisfy some suitable assumptions.
ATIN, Huseyin Erhan, KARSLI, Harun
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